This question is based on the of expression. Therefore, the correct option is (A) that is,[tex]\dfrac{2y^{4} }{x^4}[/tex] .
Given:
Expression : [tex]\dfrac{14x^{4}y^{6} }{7x^{8} y^{2} }[/tex]
We have to determined the expression is equivalent to the given expression.
According to the question,
It is given, to be assume that denominator does not equal zero.
Now by given expression, i.e.
[tex]\dfrac{14x^{4}y^{6} }{7x^{8} y^{2} }[/tex]
Now, divide denominator by numerator we get,
[tex]\dfrac{14x^{4}y^{6} }{7x^{8} y^{2} } = \dfrac{2y^{4} }{x^4}[/tex]
Therefore, the correct option is (A) that is,[tex]\dfrac{2y^{4} }{x^4}[/tex] .
For more details, please prefer this link:
https://brainly.com/question/13947055
